Consider a stock priced at $30 with a standard deviation of 0.3. The risk-free rate is 0.05. There are put and call options available at exercise prices of 30 and a time to expiration of six months. The calls are priced at $2.89 and the puts cost $2.15. There are no dividends on the stock and the options are European. Assume that all transactions consist of 100 shares or one contract (100 options).

(**Please post full work for both questions, I am seeing different answers online for both - I thought (5) was $11 and (6) was $289

Suppose the buyer of the call in problem 1 sold the call two months before expiration when the stock price was $33. How much profit would the buyer make?

a. $32.89
b. $30.11
c. $78.00
d. $11.00
e. none of the above